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Finding the Fourth Proportional to 492.60, 739.06 and 287.40

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Solution

The fourth proportional to 492.60, 739.06 and 287.40 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 739.06 = 287.40 : x
  2. Step 2: Convert to fraction form
    492.60/739.06 = 287.40/x
  3. Step 3: Cross multiply
    492.60x = 739.06 × 287.40
  4. Step 4: Simplify right side
    492.60x = 212,405.84
  5. Step 5: Solve for x
    x = 212,405.84/492.60
  6. Step 6: Final answer
    x = 431.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.